Search a number
-
+
2430934000280 = 23577037889569
BaseRepresentation
bin100011010111111110111…
…101010010001010011000
322121101122222012020211222
4203113332331102022120
5304312023101002110
65100431120111212
7340425545032562
oct43277675221230
98541588166758
102430934000280
11857a53961475
1233316aa65508
1314830b906b96
148592d148332
154337a4e5c55
hex235fef52298

2430934000280 has 32 divisors (see below), whose sum is σ = 5470312255200. Its totient is φ = 972247243776.

The previous prime is 2430934000279. The next prime is 2430934000289. The reversal of 2430934000280 is 820004390342.

It is a happy number.

It is a super-2 number, since 2×24309340002802 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2430934000280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2430934000289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3636665 + ... + 4252904.

It is an arithmetic number, because the mean of its divisors is an integer number (170947257975).

Almost surely, 22430934000280 is an apocalyptic number.

2430934000280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2430934000280 is an abundant number, since it is smaller than the sum of its proper divisors (3039378254920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2430934000280 is a wasteful number, since it uses less digits than its factorization.

2430934000280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7897283 (or 7897279 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 2430934000280 in words is "two trillion, four hundred thirty billion, nine hundred thirty-four million, two hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 7703 15406 30812 38515 61624 77030 154060 308120 7889569 15779138 31558276 39447845 63116552 78895690 157791380 315582760 60773350007 121546700014 243093400028 303866750035 486186800056 607733500070 1215467000140 2430934000280